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Finding the Third Proportional to 3,723,984 and 5,694,269.75

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Solution

The third proportional to 3,723,984 and 5,694,269.75 is: 8,706,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,984 : 5,694,269.75 = 5,694,269.75 : x
  2. Step 2: Convert to fraction form
    3,723,984/5,694,269.75 = 5,694,269.75/x
  3. Step 3: Cross multiply
    3,723,984x = 5,694,269.75 × 5,694,269.75
  4. Step 4: Simplify right side
    3,723,984x = 32,424,707,985,765.06
  5. Step 5: Solve for x
    x = 32,424,707,985,765.06/3,723,984
  6. Step 6: Final answer
    x = 8,706,994.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.